What is the relationship between ∠1 and ∠8?

Answers

Answer 1

Answer:

Alternate Exterior Angles

Step-by-step explanation:

The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex], are Alternate Exterior Angles, because those two angles are in the outside of the transversal line and they are in opposite sides.

Related Questions

A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge

Answers

Answer:

The length of the bridge is 300 feet.

Step-by-step explanation:

Let A represent the length of one leg.

Let B represent the length of the other leg (i.e length of the bridge)

Let C represent the length of the Hypothenus.

From the question given above, the following data were obtained:

Length of Hypothenus (C) = 340 feet.

Length of one leg (A) = 160 feet.

Length of the bridge (B) =.?

The length of the bridge can be obtained by using the pythagoras theory as illustrated below:

C² = A² + B²

340² = 160² + B²

115600 = 25600 + B²

Collect like terms

115600 – 25600 = B²

90000 = B²

Take the square root of both side

B = √90000

B = 300 feet

Therefore, the length of the bridge is 300 feet

what is the factor of 2x2 - 5x - 12???
hurry up guyss pleaseee!

Answers

Step 1:

[tex]2 {x}^{2} - 5x - 12[/tex]

Step 2:

[tex]2 {x}^{2} - 8x + 3x - 12[/tex]

Step 3:

[tex]2x(x - 4) + 3(x - 4)[/tex]

Step 4:

[tex]\blue{(x - 4)(2x + 3)}[/tex]

Please please please please help

Answers

Answer:

y=1

Step-by-step explanation:

Answer:

Answers

Answer:

1,000

Step-by-step explanation:

if it's past 1500 or in 1500 it would fall to 2000

but like it's less then 1,500 then it falls to 1000

hopefully it's right

Multiply. −2⋅(4)⋅(−3)⋅(5) −120 −4 4 120

Answers

Answer:

-44120

Step-by-step explanation:

Find the real solution for:
p^3 = 125
A. p = 3
B. p = -3
C. p = 6
D. p = -6
Or none of the above

Answers

Answer:

none of the above

Step-by-step explanation:

p^3 = 125

Rewrite 125 as 5^3

p^3 = 5^3

Take the cube root of each side

(p^3) ^ (1/3) = ( 5^3) ^ (1/3)

p = 3

Someone plz help with e and f I’ll mark as a brainliest

Answers

e: On e the 2 angles are the same degree so to find x, do 78+32 which equals 110; so x=110*

f: on f they are the same again so use this equation; 2h+44=126
subtract 44 from both sides
2h=82, then divide both sides by 2
h=41

Answer:

e.) 110 = x

f .) 41 = h

Step-by-step explanation:

*vertical angles are congruent

78=x-32

+32 +32

110 = x

* alternate exterior angles are congruent

126 = 2h + 44

-44 -44

82 = 2h (divide both sides by 2)

41 = h

(PLEASE HELP!) The probability of drawing a pink marble from a bag containing these marbles is 3/10.
If you replace the marble each time, predict how many times a pink marble will be chosen out of 100 draws.

Answers

Answer:

Step-by-step explanation:

The mean is equal to the number of trials times the probability.

x = (3/10) (100)

x = 30

We expect to draw a pink marble 30 times.

write a system of linear inequalities represented by the graph

Answers

The answer is number 3

Please do help!! ;^;

Answers

Answer:

10/7 is an improper fraction because the numerator is greater than the denominator.

Step-by-step explanation:

so try 10/7 as a whole number

u = 5

10 + 7u = 45

9u = 45

What is the location of H' after the image is rotated 180 degrees?

Answers

Answer:

The answer is B

Step-by-step explanation:

If you were to rotate the shape 180* it would turn 2 times leaving the point "H" at (5, -3)

Julie bought $8.64 worth of 57-cent stamps and 30-cent stamps. The number of 30-cent stamps was 6 less than the number of 57-cent stamps. Solve the equation 0.57 s + 0.3 ( s − 6 ) = 8.64 for s , to find the number of 57-cent stamps that Julie bought.

Answers

Answer:

The number of 57-cent stamps that Julie bought is 12

Step-by-step explanation:

Given equation

0.57 s + 0.3 ( s − 6 ) = 8.64

Open bracket

0.57s + 0.3s - 1.8 = 8.64

Collect like terms

0.87s = 8.64 + 1.8

0.87s = 10.44

Divide both sides by 0.87

s = 12

The number of 57-cent stamps that Julie bought is 12

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?

Answers

Answer:

315

Step-by-step explanation:

5 x 7 = 35

280 + 35 = 315

There sth answer

Answer:7 inches → 280 yards

1 inch → 280 ÷ 7 = 40 yards

5 inches → 40 x 5 = 200 yards

Area = 280 x 200 = 56 000 yards

hope this help btw i am 12

Step-by-step explanation:

Choose four values to substitute in for x in the function below and then graph the function. The first row is done for you. ( Just need help with the Table )

Answers

Answer:

Answers to complete the table are 0, 3, 6, 9.....and (2,0)(3,3)(4,6)(5,9)

Step-by-step explanation:

-6+3(2)=0

-6+3(3)=3

-6+3(4)=6

-6+3(5)=9

hope this helps

-5 -2q = 9

please help me

Answers

Answer:

q = -7

Step-by-step explanation:

-5 - 2q = 9

Add 5 to both sides of the equation.

-2q = 14

Divide both sides by -2.

q = -7

Which of these numbers is irrational? O A. - 5 9 O B. 1.618 C. 43 O D. VO

Answers

Answer:

D) [tex]\sqrt{6}[/tex]

Irrational numbers are numbers that cannot be expressed in the form of p/q where q is not equal to zero.

Here is how to understand if a number irrational or not:

Irrational numbers will have decimal expansions which are non-terminating and non-recurring (no pattern or repetition o certain groups of numbers couldn't be observed and the decimal expansion will not ever end)

EXAMPLE: For non-recurring and non- terminating decimal expansions.

2.258755655554517144516517849616128478462131...................76.2879485165886225568656559781230414746108....................4987.251484561515484513184964989494555121266....................

In the above examples, it can be observed that all the decimal digits had no pattern and they will never end.

In this question, the answer is root 6. but it is not necessary that we have to find the decimal expansion, but we ccanfind it easily just by findinf if the given number is a perfect square or not.

EXAMPLE:

[tex]\sqrt{4}[/tex] is a rational number as 4 is a perfect square.[tex]\sqrt{100}[/tex] is a rational number as 100 is a perfect square.[tex]\sqrt{8}[/tex] is not a rational number as 8 is not a perfect square

What's the solution: 7x = 5x - 25 + 30

Answers

Answer:

[tex]x= \frac{5}{2}[/tex]

Step-by-step explanation:

1) First, Simplify 5x-25+30 to 5x+5.

7x = 5x + 5

2) You then Subtract 5x from both sides.

7x − 5x = 5

3) Simplify 7x-5x to 2x.

2x = 5

4) Lastly, Divide both sides by 2.

[tex]x=\frac{5}{2}[/tex]

Decimal Form: 2.5

Answer:

X= 5/2

Step-by-step explanation:

7x=5x-25+30

_5x -5x

2x=-25+30

2x=5

/2. /2

x=5/2

Ann Carlyle is planning a business trip for which she needs to rent a car. The car rental company charges $50 per day plus $0.80 per mile over 100 miles. Suppose Ms. Carlyle rents the car for 5 days and drives 200 miles.

Answers

Answer:

The answer is 410

Step-by-step explanation:

You have to times 50 by 5 then 0.80 times 200 then add them i hope its right <3

Solve for x
I
(2x +1)° (5x +50°

Answers

Answer:

5 x + 1

Step-by-step explanation:

5 × + 50°

Any non - zero expression raised to the power of 0 equals 1

5 x + 1

Answer:

x = 12

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

since this is a right triangle

90° + 2x + 1 + 5x + 5 = 180° add like terms

7x + 96 = 180 subtract 96 from both sides

7x = 84 divide both sides by 7

x = 12

Rectangle ABCD is similar to Rectangle WXYZ . The area of ABCD is 30 square inches. Explain how to find the area, x , of WXYZ. AD/WZ = 1/2 AB/WX = 1/2 Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (__/__) to the second power. To find the area, solve the proportion 30/x = __/__ to get x = ___.

Answers

Answer:

120 square inches

Step-by-step explanation:

From the above question, we are told that:

Rectangle ABCD is similar to Rectangle WXYZ .

The area of ABCD is 30 square inches.

We are also given the ratio of their side length = 1/2

To the find the area of the second rectangle, the scale factor = k² is required where:

k = ratio of the side lengths

Let us represent the area of the.secind Rectangle as = x

Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (1/2 ) to the second power.

Hence

30/x = k²

30/x = (1/2)²

30/x = 1/4

We cross Multiply

= 30 × 4 = x

x = 120 square inches.

Therefore, the area of Rectangle WXYZ is 120 square inches.

what is 0.16 to 4 significant figures?

Answers

Answer:

0.1600

Step-by-step explanation:

because it would round to the closest number which is 0.1600

Question !
Qa/ 4.2 - 1.5² +0.3 x0.7

Answers

Step-by-step explanation:

8x+8−3(x+4)−7(2−x)

8x+8−(3x+12)−7(2−x)

8x+8−(3x+12)−(14−7x)

8x+8−3x−12−14+7x

(8x−3x+7x)+(8−12−14)

12x-18

7w+7=-4+4w+23 what is this?

Answers

Answer: 7w+7=-4+4w+23 = W = 4

First you have to simplify the equations

7w+7= (4w) + (-4+23) 7w+7= 4w+19

Than you have to subtract the 4w (both equation)

7w+7-4w =4w = 4w + 19 - 4w = 3w+7= 19

And than you have to subtract the sevens

3w+7-7=19-7=3w=12

than divide by 3

3w/3 equals 12/3w=4

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